Solve for a to determine if the equation has one, none, or infinite solutions.

4x = 3(x + 5) - 15 (1 point)

O The equation has one solution: x = - 10

O The equation has no solution.

O The equation has infinite solutions.

O The equation has one solution: x = 0

1 answer

To solve this equation, we can start by simplifying both sides:

4x = 3(x + 5) - 15

Multiplying 3 by (x + 5), we get:

4x = 3x + 15 - 15

Simplifying further, we have:

4x = 3x

Now, to solve for a, we can subtract 3x from both sides:

4x - 3x = 3x - 3x

This gives us:

x = 0

Since a was not included in the original equation, we can see that the equation does not depend on any particular value of a. Therefore, it has infinite solutions.

The correct answer is:

The equation has infinite solutions.